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Qamhieh K. Effect of Dielectric Constant on the Zeta Potential of Spherical Electric Double Layers. Molecules 2024; 29:2484. [PMID: 38893363 PMCID: PMC11173410 DOI: 10.3390/molecules29112484] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/28/2024] [Revised: 04/19/2024] [Accepted: 04/23/2024] [Indexed: 06/21/2024] Open
Abstract
Zeta potential refers to the electrokinetic potential present in colloidal systems, exerting significant influence on the diverse properties of nano-drug delivery systems. The impact of the dielectric constant on the zeta potential and charge inversion of highly charged colloidal particles immersed in a variety of solvents spanning from polar, such as water, to nonpolar solvents and in the presence of multivalent salts was investigated through primitive Monte Carlo (MC) model simulations. Zeta potential, ξ, is decreased with the decreasing dielectric constant of the solvent and upon further increase in the salinity and the valency of the salt. At elevated levels of salt, the colloidal particles become overcharged in all solvents. As a result, their apparent charge becomes opposite in sign to the stoichiometric charge. This reversal of charge intensifies until reaching a saturation point with further increase in salinity.
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Affiliation(s)
- Khawla Qamhieh
- Department of Physics, College of Science and Technology, Al-Quds University, Jerusalem 20287, Palestine
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Mella M, Tagliabue A, Mollica L, Izzo L. Monte Carlo study of the effects of macroion charge distribution on the ionization and adsorption of weak polyelectrolytes and concurrent counterion release. J Colloid Interface Sci 2020; 560:667-680. [PMID: 31704002 DOI: 10.1016/j.jcis.2019.10.051] [Citation(s) in RCA: 12] [Impact Index Per Article: 3.0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/26/2019] [Revised: 10/12/2019] [Accepted: 10/14/2019] [Indexed: 01/16/2023]
Abstract
HYPOTHESIS Adsorption of weak polyelectrolytes onto charged nanoparticles, and concurrent effects such as spatial partitioning of ions may be influenced by details of the polyelectrolyte structure (linear or star-like) and size, by the mobility of the nanoparticle surface charge, or the valence of the nanoparticle counterions. EXPERIMENTS Ionization and complexation of weak polyelectrolytes on spherical macroions with monovalent and divalent countrions has been studied with constant-pH Monte Carlo titrations and primitive electrolyte models for linear and star-like polymers capable, also, of forming charged hydrogen bonds. Nanoparticles surface charge has been represented either as a single colloid-centered total charge (CCTC) or as surface-tethered mobile monovalent spherical charges (SMMSC). FINDINGS Differences in the average number of adsorbed polyelectrolyte arms and their average charge, and in the relative amount of macroion counterions (m-CI's) released upon polymer adsorption are found between CCTC and SMMSC nanoparticles. The amount of the counterions released also depends on the polymer structure. As CCTC adsorbs a lower number of star-like species arms, the degree of condensation of polymer counterions (p-CI's) onto the polyelectrolyte is also substantially higher for the CCTC colloid, with a concurrent decrease of the osmotic coefficient values.
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Affiliation(s)
- Massimo Mella
- Dipartimento di Scienza ed Alta Tecnologia, Università degli Studi dell'Insubria, via Valleggio 11, 22100 Como, Italy.
| | - Andrea Tagliabue
- Dipartimento di Scienza ed Alta Tecnologia, Università degli Studi dell'Insubria, via Valleggio 11, 22100 Como, Italy
| | - Luca Mollica
- Dipartimento di Biotecnologie Mediche e Medicina Traslazionale, Università degli Studi di Milano, via Vanvitelli 32, 20133 Milano, Italy; Istituto Nazionale Genetica Molecolare "Romeo ed Enrica Invernizzi", Via F. Sforza 35, 20122 Milano, Italy
| | - Lorella Izzo
- Dipartimento di Biotecnologie e Scienze della Vita, Università degli Studi dell'Insubria, via J. H. Dunant 3, 21100 Varese, Italy.
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Ma M, Gan Z, Xu Z. Ion Structure Near a Core-Shell Dielectric Nanoparticle. PHYSICAL REVIEW LETTERS 2017; 118:076102. [PMID: 28256895 DOI: 10.1103/physrevlett.118.076102] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.7] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/06/2016] [Indexed: 06/06/2023]
Abstract
A generalized image charge formulation is proposed for the Green's function of a core-shell dielectric nanoparticle for which theoretical and simulation investigations are rarely reported due to the difficulty of resolving the dielectric heterogeneity. Based on the formulation, an efficient and accurate algorithm is developed for calculating electrostatic polarization charges of mobile ions, allowing us to study related physical systems using the Monte Carlo algorithm. The computer simulations show that a fine-tuning of the shell thickness or the ion-interface correlation strength can greatly alter electric double-layer structures and capacitances, owing to the complicated interplay between dielectric boundary effects and ion-interface correlations.
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Affiliation(s)
- Manman Ma
- School of Mathematical Sciences, Institute of Natural Sciences, and MoE Key Lab of Scientific and Engineering Computing, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Zecheng Gan
- School of Mathematical Sciences, Institute of Natural Sciences, and MoE Key Lab of Scientific and Engineering Computing, Shanghai Jiao Tong University, Shanghai 200240, China
| | - Zhenli Xu
- School of Mathematical Sciences, Institute of Natural Sciences, and MoE Key Lab of Scientific and Engineering Computing, Shanghai Jiao Tong University, Shanghai 200240, China
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Angelescu DG, Caragheorgheopol D. Influence of the shell thickness and charge distribution on the effective interaction between two like-charged hollow spheres. J Chem Phys 2015; 143:144902. [DOI: 10.1063/1.4932372] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.6] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 12/17/2022] Open
Affiliation(s)
- Daniel G. Angelescu
- Romanian Academy, “Ilie Murgulescu” Institute of Physical Chemistry, Splaiul Independentei 202, 060021 Bucharest, Romania
| | - Dan Caragheorgheopol
- Romanian Academy, “Ilie Murgulescu” Institute of Physical Chemistry, Splaiul Independentei 202, 060021 Bucharest, Romania
- Technical University of Civil Engineering Bucharest, Lacul Tei Blvd., 122-124, 020396 Bucharest, Romania
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Qamhieh K, Amleh M, Khaleel M. Effect of Discrete Macroion Charge Distributions on Electric Double Layer of a Spherical Macroion. J DISPER SCI TECHNOL 2013. [DOI: 10.1080/01932691.2012.751878] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
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Carnal F, Stoll S. Explicit Ions Condensation around Strongly Charged Polyelectrolytes and Spherical Macroions: The Influence of Salt Concentration and Chain Linear Charge Density. Monte Carlo Simulations. J Phys Chem A 2012; 116:6600-8. [DOI: 10.1021/jp3010019] [Citation(s) in RCA: 20] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/28/2022]
Affiliation(s)
- Fabrice Carnal
- Group of Environmental Physical Chemistry, F.-A. Forel
Institute, University of Geneva, 10 Route
de Suisse, 1290 Versoix, Switzerland
| | - Serge Stoll
- Group of Environmental Physical Chemistry, F.-A. Forel
Institute, University of Geneva, 10 Route
de Suisse, 1290 Versoix, Switzerland
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7
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Gan Z, Xu Z. Multiple-image treatment of induced charges in Monte Carlo simulations of electrolytes near a spherical dielectric interface. PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 2011; 84:016705. [PMID: 21867341 DOI: 10.1103/physreve.84.016705] [Citation(s) in RCA: 19] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/08/2011] [Revised: 05/30/2011] [Indexed: 05/31/2023]
Abstract
The polarization-induced charges of a dielectric sphere are studied for charged colloidal systems in electrolyte solutions with a primitive model. The method of constructing multiple-image charges is used to approximate the polarization potential of a microion outside the sphere; it is based on a numerical discretization of the potential's analytical integral representation, and can systematically approximate the exact potential with desired accuracy by varyiation of the number of point images. Different aspects of the image effects are then investigated by Monte Carlo simulations for several colloidal systems, in both salt-free and salty environments. Furthermore, we studied the influence of discrete surface charges of different valences, and demonstrate that the polarization charges can significantly strengthen charge reversal for the colloid-microion complex, especially for multivalent interfacial ions.
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Affiliation(s)
- Zecheng Gan
- Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China
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Mani E, Groenewold J, Kegel WK. Modeling of equilibrium hollow objects stabilized by electrostatics. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2011; 23:194105. [PMID: 21525567 DOI: 10.1088/0953-8984/23/19/194105] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
The equilibrium size of two largely different kinds of hollow objects behave qualitatively differently with respect to certain experimental conditions. Yet, we show that they can be described within the same theoretical framework. The objects we consider are 'minivesicles' of ionic and nonionic surfactant mixtures, and shells of Keplerate-type polyoxometalates. The finite-size of the objects in both systems is manifested by electrostatic interactions. We emphasize the importance of constant charge and constant potential boundary conditions. Taking these conditions into account, indeed, leads to the experimentally observed qualitatively different behavior of the equilibrium size of the objects.
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Affiliation(s)
- Ethayaraja Mani
- Van ’t Hoff Laboratory for Physical and Colloid Chemistry, Debye Institute, Utrecht University, Utrecht, The Netherlands
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Wang ZY, Ma YQ. Monte Carlo determination of mixed electrolytes next to a planar dielectric interface with different surface charge distributions. J Chem Phys 2010; 131:244715. [PMID: 20059107 DOI: 10.1063/1.3276279] [Citation(s) in RCA: 36] [Impact Index Per Article: 2.6] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/14/2022] Open
Abstract
Employing canonical ensemble Monte Carlo simulations, we report a calculation of the distribution of small ions next to a planar negatively charged surface in the presence of mixed electrolytes of monovalent and trivalent salt ions within the framework of the primitive model under more realistic hydrated ion size conditions. The effects of surface charge discreteness and dielectric breakdown on charge inversion are discussed based on increasing concentration of both monovalent and trivalent salt. Moreover, a comparison of the simulation results for different discretization models is made along with the case of uniformly distributed charge in terms of the ionic density profiles as well as the integrated charge distribution function. For finite size charged groups located inside the lower dielectric region, a complete equivalence with the case of uniform distribution is observed if the quantities of interest are exclusively analyzed as a function of the distance to the charged interface. With protruding head groups into the aqueous solution, the excluded volume dominates over the correlation effect, therefore the ions are less accumulated in the vicinity of the charged surface, inducing that the onset position of charge inversion experiences an evident shift toward the aqueous environment. Overall, the effect of repulsive image forces on the diffuse double layer structure can be significant at low surface charge density irrespectively of surface charge distributions.
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Affiliation(s)
- Zhi-yong Wang
- Department of Physics and National Laboratory of Solid State Microstructures, Nanjing University, Nanjing 210093, China
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Messina R. Electrostatics in soft matter. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2009; 21:113102. [PMID: 21693906 DOI: 10.1088/0953-8984/21/11/113102] [Citation(s) in RCA: 74] [Impact Index Per Article: 4.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/30/2023]
Abstract
Recent progress in understanding the effect of electrostatics in soft matter is presented. A vast number of materials contain ions, ranging from the molecular scale (e.g. electrolyte) to the meso/macroscopic one (e.g. charged colloidal particles or polyelectrolytes). Their (micro)structure and physico-chemical properties are especially dictated by the famous and redoubtable long-ranged Coulomb interaction. In particular, theoretical and simulational aspects, including the experimental motivations, will be discussed.
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Affiliation(s)
- René Messina
- Institut für Theoretische Physik II, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, D-40225 Düsseldorf, Germany
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Dahirel V, Jardat M, Dufrêche JF, Turq P. Ion-mediated interactions between charged and neutral nanoparticles. Phys Chem Chem Phys 2008; 10:5147-55. [DOI: 10.1039/b806315j] [Citation(s) in RCA: 13] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/21/2022]
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12
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Chen WR, Porcar L, Liu Y, Butler PD, Magid LJ. Small Angle Neutron Scattering Studies of the Counterion Effects on the Molecular Conformation and Structure of Charged G4 PAMAM Dendrimers in Aqueous Solutions. Macromolecules 2007. [DOI: 10.1021/ma0626564] [Citation(s) in RCA: 103] [Impact Index Per Article: 6.1] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/29/2022]
Affiliation(s)
- Wei-Ren Chen
- Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Department of Chemistry, the University of Tennessee, Knoxville, Tennessee 37996-1600, The NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8562, and Department of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742-2115
| | - Lionel Porcar
- Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Department of Chemistry, the University of Tennessee, Knoxville, Tennessee 37996-1600, The NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8562, and Department of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742-2115
| | - Yun Liu
- Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Department of Chemistry, the University of Tennessee, Knoxville, Tennessee 37996-1600, The NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8562, and Department of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742-2115
| | - Paul D. Butler
- Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Department of Chemistry, the University of Tennessee, Knoxville, Tennessee 37996-1600, The NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8562, and Department of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742-2115
| | - Linda J. Magid
- Spallation Neutron Source, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, Department of Chemistry, the University of Tennessee, Knoxville, Tennessee 37996-1600, The NIST Center for Neutron Research, National Institute of Standards and Technology, Gaithersburg, Maryland 20899-8562, and Department of Materials Science and Engineering, University of Maryland, College Park, Maryland 20742-2115
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